Analyzing Circuit Nodes & Meshes: Find I'”

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The discussion revolves around analyzing a circuit to determine the number of extraordinary nodes and independent meshes, as well as applying mesh analysis to find the current I’. Participants express confusion over the definitions of extraordinary nodes, with some counting 5 and others 8, highlighting a lack of clarity in the formal definition. The distinction between independent meshes is also debated, particularly regarding the impact of current sources on mesh currents. It is noted that the right-most mesh's current cannot be determined by inspection due to the presence of a current source in a shared branch. Overall, the conversation emphasizes the need for precise definitions and understanding in circuit analysis.
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Homework Statement


Consider the circuit shown below.
(a) How many extraordinary nodes does it have?
(b) How many independent meshes does it have?
(c) The values of how many of those mesh currents can be determined immediately from the circuit?
(d) Apply mesh analysis to find I’.


Homework Equations





The Attempt at a Solution


I am having a hard time for parts (a) and (b). I put a dot on everything I called an extraordinary node, and got 5. My friend got 10 and I don't see it.

Also, the the independent meshes, apparently where the 7 Amp current source is, you can't say the furthest right branches mesh current by inspection. How is this?
 

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What is the definition of an extraordiary node?
 
Where 3 or more junctions meet
 
Maylis said:
Where 3 or more junctions meet
That is too ambiguous, too imprecise. What is the formal definition from your course notes?
 
Maylis said:
Also, the the independent meshes, apparently where the 7 Amp current source is, you can't say the furthest right branches mesh current by inspection. How is this?
You were probably told that so as to contrast it with most of the other meshes in this figure. Most meshes here show a current source in one of their unshared branches, and this current sets that mesh's mesh current. The right-most mesh has a current source but located in a shared branch, so that source represents the nett result of two mesh currents, not one current alone.

To say that the mesh current there can't be determined by inpection is arguable, though.
 
Last edited:
Given in lecture slide:

Extraordinary
Node:
connection point between at least 3 branches

I watched a youtube video, and now after watching it


I count 8 extraordinary nodes. Anyone else get the same?
 
Last edited by a moderator:
Maylis said:
I count 8 extraordinary nodes. Anyone else get the same?
8 is the number I count.
 
  • #10
Okay great, I feel more comfortable with it now. Thanks
 

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